≥ MathTools

Linear Inequality Solver

Solve a supported linear inequality, see its solution and review the steps. When dividing by a negative number, remember that the inequality sign must reverse.

Solve a linear inequality, visualize its solution, and understand the working with step-by-step explanations.

Supported: linear inequalities in x and y, or one-variable linear inequalities. Use <= or >= for inclusive boundaries.

TRY AN EXAMPLE

The graph updates as you type. Press Calculate Inequality to confirm the solution and view its working.

Your solution will appear here

Enter an inequality and press Calculate Inequality to see the confirmed solution and its explanation.

Graph

y > 2x + 1
-7-6-5-4-3-2-11234567-7-6-5-4-3-2-11234567xy
Solution: y > 2x + 1Boundary: dashed

Example: solving a one-variable inequality

Start: 2x + 3 ≤ 11

Subtract 3: 2x ≤ 8

Divide by 2: x ≤ 4

The solution contains every real number less than or equal to 4.

Enter the example into the calculator above to calculate the solution. Only supported linear expressions are accepted.

Supported inputs and common mistakes

The solver accepts linear expressions in x and y, constants, and one inequality sign. Reverse the sign when multiplying or dividing by a negative number. Parentheses, fractions written with /, compound inequalities, absolute-value expressions, and systems are not supported.

For a visual half-plane, use the graphing inequalities calculator . For a one-variable interval, use the number-line calculator .